Problem 9. (10 points) Suppose that r, K are constants and that the population P (0

Problem 9. (10 points) Suppose that r, K are constants and that the population P (0 < and can P < K) of birds in an environment with limited satisfies that P(O) = be modeled by the following differential equation (called the logistic equation): K) = rP(1 dt Find the population P of birds at time t.